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Finding the Fourth Proportional to 11,481.44, 15,853.72 and 9,357.28

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Solution

The fourth proportional to 11,481.44, 15,853.72 and 9,357.28 is: 12,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.44 : 15,853.72 = 9,357.28 : x
  2. Step 2: Convert to fraction form
    11,481.44/15,853.72 = 9,357.28/x
  3. Step 3: Cross multiply
    11,481.44x = 15,853.72 × 9,357.28
  4. Step 4: Simplify right side
    11,481.44x = 148,347,697.08
  5. Step 5: Solve for x
    x = 148,347,697.08/11,481.44
  6. Step 6: Final answer
    x = 12,920.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.